Признак некомпактности слоения морсовской формы

Author: Ирина Анатольевна Мельникова

Успехи математических наук, vol. 50, no. 3, pp. 217-218, 1995.

Abstract: The author studies foliations determined by a closed 1-form with Morse singularities on smooth compact manifolds. More precisely, the author investigates the problem of the existence of a non-compact leaf, verifies a test for non-compactness of a foliation in terms of the degree of irrationality of the considered 1-form, and shows that the non-compactness of a foliation is a case of general position. (The paper provides no abstract; this abstract is provided by a Zentralblatt review.)

Keywords: Morse form; foliations; non-compactness (The paper provides no keywords; these keywords are provided by a Zentralblatt review.)

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